Work

Effect on persistence of intra-specific competition in competition models

Year: 2007

Type: article

Abstract: An ecological model describing the competition for a single substrate of an arbitrary number of species is considered. The mortality rates of the species are not supposed to have all the same value and the growth function of the substrate is not supposed to be linear or decreasing. Intra-specific competition is taken into account. Under additional technical assumptions, we establish that the model admits a globally asymptotically stable positive equilibrium point. This ensures persistence of the species. Our proof relies on a Lyapunov function.

Source: HAL

Authors: Lobry, Claude, Mazenc, Frédéric, F.

Institutions: Institut national de recherche en sciences et technologies du numérique, Institut National de Recherche pour l'Agriculture, l'Alimentation et l'Environnement, Mathématiques, Informatique et Statistique pour l'Environnement et l'Agronomie, Analyse des Systèmes Biologiques

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2554141201

FWCI: 0.816

Cites: 15

Cited by: 13

Related to: 10